二阶非线性抛物方程解的定性性质  

Qualitative Properties of the Solutions to a Second Order Nonlinear Parabolic Equation

作　　者：何文平[1] 周杰荣[1] 

机构地区：[1]炮兵学院南京分院基础部,江苏南京211132

出　　处：《浙江万里学院学报》2010年第4期58-61,共4页Journal of Zhejiang Wanli University

摘　　要：研究了一类带有非线性边界条件的二阶非线性抛物方程正解的性质。利用比较原理,得到该方程的解整体存在的条件,利用数学分析的方法,得到该方程的解的爆破的条件。In this paper, the properties of the positive solutions to a second order nonlinear parabolic equation have been studied. Using the comparison principle, we have acquired the conditions for the existence of global solutions. By using the method of mathematics analysis, we have obtained the conditions for blow-up of solutions.

关 键 词：抛物方程 爆破与整体存在 比较原理 

分 类 号：O175.26[理学—数学]